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Finding the Fourth Proportional to 76,053.91, 104,957.66 and 42,062.39

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Solution

The fourth proportional to 76,053.91, 104,957.66 and 42,062.39 is: 58,047.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,053.91 : 104,957.66 = 42,062.39 : x
  2. Step 2: Convert to fraction form
    76,053.91/104,957.66 = 42,062.39/x
  3. Step 3: Cross multiply
    76,053.91x = 104,957.66 × 42,062.39
  4. Step 4: Simplify right side
    76,053.91x = 4,414,769,943.22
  5. Step 5: Solve for x
    x = 4,414,769,943.22/76,053.91
  6. Step 6: Final answer
    x = 58,047.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.